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自适应陷波滤波器频率估计新方法及性能分析

李明, 涂亚庆, 沈廷鳌, 杨辉跃   

  1. 后勤工程学院信息工程系, 重庆 401311
  • 收稿日期:2013-05-10 修回日期:2013-07-19 出版日期:2014-01-25
    • 作者简介:
    • 李 明 男,1985年1月生于山西太原,分别于2007年和2010年在后勤工程学院获得学士和硕士学位,现为后勤工程学院博士研究生,主要研究方向为信号处理,智能检测与仪表. E-mail:limitonly@126.com 涂亚庆 男,1963年6月出生,重庆市人,分别于1991年和1994年在重庆大学获得硕士和博士学位,现为后勤工程学院教授、博士生导师,主要研究方向为智能检测与仪表、智能自动化系统. E-mail:yqtcq@sina.com
    • 基金资助:
    • 国家自然科学基金 (No.61271449,No.61302175); 重庆市自然科学基金 (No.CSTC2011BA2015,No.CSTC2012jjA0877,No.CSTC2012jjA 1047)

A New Frequency Estimation Method Based on Adaptive Notch Filter and Its Performance Analysis

LI Ming, TU Ya-qing, SHEN Ting-ao, YANG Hui-yue   

  1. Department of Information Engineering, Logistical Engineering University, Chongqing 401311, China
  • Received:2013-05-10 Revised:2013-07-19 Online:2014-01-25 Published:2014-01-25

摘要: 现有的自适应陷波滤波器(ANF)受误差函数所限,导致其自适应频率估计方法收敛速度较慢,对初始迭代频率值设定范围要求较高,特别针对频率接近于0或π的信号,还存在频率估计精度不高、算法稳定性差的问题,为此,提出一种ANF频率估计新方法.首先,分析现有ANF方法估计信号频率时存在精度低、速度慢、稳定性差的原因,提出一种新误差函数以提升ANF收敛速度;然后,根据ANF估计信号频率时偏差产生的机理,通过偏差补偿方式,降低噪声对ANF的影响,以获得近似无偏的频率估计结果,提高ANF频率估计精度,同时与离散卡尔曼滤波相结合,以改善算法的稳定性,并对该方法进行稳态条件下的性能分析;最后,给出了ANF频率估计结果,并讨论了ANF各参数对频率估计精度的影响,给出了具体计算结果.计算表明本文方法的有效性与正确性.

关键词: 自适应陷波滤波器, 频率估计, 误差函数, 卡尔曼滤波

Abstract: With the limitation of the error function used in adaptive notch filter (ANF),the convergence speed of the adaptive frequency estimation method is slow and the setting of initial iteration frequency value is also restrained.Especially for the signal whose frequency is close to 0 or π,the frequency estimation accuracy is not satisfied and the stability of ANF is poor,so a new frequency estimation method of ANF based on new error function is proposed.Firstly,the reasons for low accuracy,slow convergence speed and poor stability of ANF frequency estimation methods are analyzed,and a new error function is proposed to improve the convergence speed;secondly,according to the reasons of the bias generated by ANF,a bias removing technique is adopted to improve the accuracy of the frequency estimation and the unbiased frequency estimation results are obtained,meanwhile the discrete kalman filtering is used to improve stability of ANF,then the performance analysis of ANF frequency estimation methods at steady state is also given;thirdly,the frequency estimation results of ANF are acquired.The impacts of the parameters on the accuracy of ANF for frequency estimation are discussed.Consequently,the calculated experiment results are provided to confirm the effectiveness and correctness of the algorithm.

Key words: adaptive notch filter, frequency estimation, error function, Kalman filtering

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